Patade, J. and Bhalekar, S. (2017) On Analytical Solution of Ambartsumian Equation. National Academy Science Letters, 40, 291-293.
https://doi.org/10.1007/s40009-017-0565-2

has been cited by the following article:

• TITLE: Investigation of the Surface Brightness Model in the Milky Way via Homotopy Perturbation Method

  AUTHORS: Abdullah A. Alatawi, Mona Aljoufi, Fahad M. Alharbi, Abdelhalim Ebaid

  KEYWORDS: Delay, Homotopy Perturbation Method, Analytic Solution

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.3, March 9, 2020

  ABSTRACT: In this paper, a linear delay model in astronomy, called as Ambartsumian equation, is investigated by two different approaches. The first is the approximate homotopy perturbation method (HPM), while the second is a new closed-form solution for this equation. The results are presented through a table and several plots and have been compared with the relevant literature. It is revealed that the present HPM is of higher accuracy than those approximate techniques used in previously published works, when compared with the obtained analytic solution. The convergence of the new analytic solution has been also discussed.